The Method of the Generalised Eikonal: New Approaches in the Diffraction Theory 9783110311129

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Автор: Michael V. Vesnik
Название: The Method of the Generalised Eikonal: New Approaches in the Diffraction Theory
ISBN: 9783110311129
Издательство: Walter de Gruyter
Классификация:

Прикладная математика

Физика

Математическая физика

ISBN-10: 3110311127
Обложка/Формат: Hardback
Страницы: 212
Вес: 0.54 кг.
Дата издания: 30.07.2015
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 14
Читательская аудитория: Professional and scholarly
Ключевые слова: Applied mathematics,Mathematical physics, MATHEMATICS / Applied,SCIENCE / Physics / General
Основная тема: SCIENCE / Physics / General
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: Diffraction theory describes scattering mechanisms for waves of various physical nature, scattered by objects of different shapes and materials. This book proposes new methods to account for the contour shape, edge profile and boundary conditions of three-dimensional scatterers (in particularly, flat polygons and polyhedrals). A standard method to refine the physical optics approximation (PO) is the heuristic method of edge waves (MEW). In comparison with MEW, the presented approaches simplify the solving and refining the PO approximation without solving a corresponding two-dimensional problem. Furthermore these methods allow to take into account the field perturbation in the vicinity of vertices. While the analytical formulas obtained by using these new approaches are as simple as in the PO case, the accuracy can be even higher than for MEW. On the basis of the developed methods construction of solutions for wave propagation in urban area and elastic wave diffraction (including seismic waves) are proposed. The book is useful for specialists who solve scientific and engineering problems in wave propagation and for students and postgraduate students.

The Method of the Generalised Eikonal: New Approaches in the Diffraction Theory, Michael V. Vesnik